Equal set, subset, and power set

units
abc
abc
abc
vector
logic
function
standard

abc

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

shift

greek

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

shift

greek

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

−

×∗×

√

a■

{......

[

]

∞

{}

det

(m×n)

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

∧

⊥

∀

⊢

∅

∪

⊂

∨

⊤

∃

≠

⊨

∈

∩

⊆

∄

→

□

⊕

≥

∖

∉

⇒

⊬

⊃

↔

◇

⧆

≤

⊭

≡

{}

⇔

⊇

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

−

×∗×

√

a■

log

sin

[

]

cos

lim

∞

[

)

≥

tan

(

]

≤

arc

{......

(

)

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

−

×∗×

√

a■

log

sin

∧

cos

∨

≥

tan

all

≤

none

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

°C

mol

bar

rad

units

↵

(

)

↑

←

↓

→

units
abc
abc
abc
vector
logic
function
standard

−

×∗×

√

a■

log

sin

∧

cos

∨

≥

tan

all

≤

none

↵

(

)

↑

←

↓

→

Each of the following equalities of sets is either true or false. Drag each formula to the correct column.

By clicking the reset-button, you indicate that you want to start with a clean slate.

\(\bigl\{2,\{3\},\{3\}\bigr\}=\bigl\{\{3\},\{2,3\}\bigr\}\)

\(\bigl\{2,\{3,5\}\bigr\}=\bigl\{\{2,3\},5\bigr\}\)

\(\left\{\{2,3\},\bigl\{\{2,3\}\bigr\}\right\}=\left\{\bigl\{\{2,3\}\bigr\}\right\}\)

\(\{2,3,5\}=\{3,2,5\}\)

\(\bigl\{2,\{3\},\{2,3\}\bigr\}=\bigl\{\{3\},\{2,3\},2\bigr\}\)

\(\{2,3,3, 5,5,5\}=\{2,3,5\}\)

Naive set theory: Elementary notions and notations

Equal set, subset, and power set

true

false